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254893056 = 21031119397
BaseRepresentation
bin11110011000101…
…01110000000000
3122202121220112120
433030111300000
51010223034211
641143124240
76213361305
oct1714256000
9582556476
10254893056
11120975a20
1271443680
1340a668c2
1425bd10ac
151759dd06
hexf315c00

254893056 has 176 divisors, whose sum is σ = 782117760. Its totient is φ = 72990720.

The previous prime is 254893027. The next prime is 254893097. The reversal of 254893056 is 650398452.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 254892999 and 254893017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641850 + ... + 642246.

Almost surely, 2254893056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391058880).

254893056 is an abundant number, since it is smaller than the sum of its proper divisors (527224704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254893056 is a wasteful number, since it uses less digits than its factorization.

254893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 254893056 is about 15965.3705249831. The cubic root of 254893056 is about 634.0439088962.

The spelling of 254893056 in words is "two hundred fifty-four million, eight hundred ninety-three thousand, fifty-six".